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Finding the Fourth Proportional to 16,833.82, 23,230.83 and 9,280.43

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Solution

The fourth proportional to 16,833.82, 23,230.83 and 9,280.43 is: 12,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.82 : 23,230.83 = 9,280.43 : x
  2. Step 2: Convert to fraction form
    16,833.82/23,230.83 = 9,280.43/x
  3. Step 3: Cross multiply
    16,833.82x = 23,230.83 × 9,280.43
  4. Step 4: Simplify right side
    16,833.82x = 215,592,015.75
  5. Step 5: Solve for x
    x = 215,592,015.75/16,833.82
  6. Step 6: Final answer
    x = 12,807.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.